667744 has 48 divisors (see below), whose sum is σ = 1645056. Its totient is φ = 259200.

The previous prime is 667741. The next prime is 667753. The reversal of 667744 is 447766.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2329 + ... + 2599.

It is an arithmetic number, because the mean of its divisors is an integer number (34272).

2⁶⁶⁷⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822528).

667744 is an abundant number, since it is smaller than the sum of its proper divisors (977312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

667744 is a wasteful number, since it uses less digits than its factorization.

667744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 667744 is about 817.1560438496. The cubic root of 667744 is about 87.4050780161.

The spelling of 667744 in words is "six hundred sixty-seven thousand, seven hundred forty-four".